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Finding the Fourth Proportional to 116.83, 160.33 and 105.90

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Solution

The fourth proportional to 116.83, 160.33 and 105.90 is: 145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.83 : 160.33 = 105.90 : x
  2. Step 2: Convert to fraction form
    116.83/160.33 = 105.90/x
  3. Step 3: Cross multiply
    116.83x = 160.33 × 105.90
  4. Step 4: Simplify right side
    116.83x = 16,978.95
  5. Step 5: Solve for x
    x = 16,978.95/116.83
  6. Step 6: Final answer
    x = 145.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.